Pith Number

pith:73222W3L

pith:2015:73222W3LBQMQBGVIZCKAVP4CYK

not attested not anchored not stored refs pending

Topological simplicity of the Cremona groups

J\'er\'emy Blanc, Susanna Zimmermann

arxiv:1511.08907 v1 · 2015-11-28 · math.AG · math.GN · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73222W3LBQMQBGVIZCKAVP4CYK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:54:07.789616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef5ad5b6b0c19009aa8c8940abf82c2a15aba5558e031db31246bbc7a2d7541

Aliases

arxiv: 1511.08907 · arxiv_version: 1511.08907v1 · doi: 10.48550/arxiv.1511.08907 · pith_short_12: 73222W3LBQMQ · pith_short_16: 73222W3LBQMQBGVI · pith_short_8: 73222W3L

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/73222W3LBQMQBGVIZCKAVP4CYK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fef5ad5b6b0c19009aa8c8940abf82c2a15aba5558e031db31246bbc7a2d7541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e2658f71da75964abe8a6a3046dcc97c80eebd8e3b26bc03a764405ed9793dd",
    "cross_cats_sorted": [
      "math.GN",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-28T16:07:04Z",
    "title_canon_sha256": "655658dbb06b8e4e8377dd1c708a5c0072068ef9aa578c3d560e6ae11bda00a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08907",
    "kind": "arxiv",
    "version": 1
  }
}